Liouville theorem and coupling on negatively curved Riemannian manifolds.
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Publication:1766023
DOI10.1016/S0304-4149(02)00121-7zbMath1061.58035OpenAlexW2055425845WikidataQ115339263 ScholiaQ115339263MaRDI QIDQ1766023
Publication date: 25 February 2005
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00121-7
Diffusion processes and stochastic analysis on manifolds (58J65) Homotopy and topological questions for infinite-dimensional manifolds (58B05)
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Cites Work
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- Function theory on manifolds which possess a pole
- Brownian motion and harmonic functions on rotationally symmetric manifolds
- On the parabolic kernel of the Schrödinger operator
- The radial part of Brownian motion on a manifold: A semimartingale property
- Complete lifts of connections and stochastic Jacobi fields
- Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
- Formulae for the derivatives of heat semigroups
- Limiting angle of Brownian motion in certain two-dimensional Cartan-Hadamard manifolds
- A condition for the equivalence of coupling and shift coupling.
- Coupling and harmonic functions in the case of continuous time Markov processes
- Limiting angle of Brownian motion on certain manifolds
- A probabilistic proof of S.-Y. Cheng's Liouville theorem
- THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
- Nonnegative ricci curvature and the brownian coupling property
- A simple coupling of renewal processes
- Harmonic functions on complete riemannian manifolds
- On the differentiation of heat semigroups and poisson integrals
- The limiting angle of certain riemannian brownian motions
